6. (10 points) Deluxe River Cruises operates a fleet of river vessels. The fleet has three types of vessels: a type A vessel has 50 deluxe cabins and 90 standard cabins, a type B vessels has 80 deluxe cabins and 150 standard cabins, a type C vessels has 20 deluxe cabins and 40 cabins. Under a charter agreement with Odyssey Travel Agency, Deluxe River Cruises is to provide Odyssey with a minimum of 300 deluxe and 600 standard cabins. It costs $40,000 to operate a type A vessel, $50,000 to operate a type B vessel, and $20,000 to operate a type C vessel. How many of each type of vessel should be used to keep the operating costs to a minimum? Define variables and formulate the above as a linear programming problem. Do not solve the linear programming